The angles \( A, B \) and \( C \) of a \( \triangle A B C \) are in...

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The angles \( A, B \) and \( C \) of a \( \triangle A B C \) are in \( A P \) and \( a: b=1: \sqrt{3} \). If \( c=4 \mathrm{~cm} \), then the area (in sq \( \mathrm{cm} \) ) of
\( \mathrm{P} \) this triangle is
(2019 Main, 10 April II)
(a) \( \frac{2}{\sqrt{3}} \)
(b) \( 4 \sqrt{3} \)
(c) \( 2 \sqrt{3} \)
(d) \( \frac{4}{\sqrt{3}} \)
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